How to convert 3.735335424369 as a fraction

Question: What is 3.735335424369 as a fraction?


Answer: 3.735335424369 as a fraction is 2611/699


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How to convert 3.735335424369 as a fraction?

Solution:3.735335424369 as a fraction is 2611/699

Step 1:

The first step to converting 3.735335424369 to a fraction is to re-write 3.735335424369 in the form p/q where p and q are both positive integers. To start with, 3.735335424369 can be written as simply 3.735335424369/1 to technically be written as a fraction.

Step 2:

Next, we will count the number of fractional digits after the decimal point in 3.735335424369, which in this case is 12. For however many digits after the decimal point there are, we will multiply the numerator and denominator of 3.735335424369/1 each by 10 to the power of that many digits. So, in this case, we will multiply the numerator and denominator of 3.735335424369/1 each by 1000000000000:

3735335424369/10 / 1000000000000/10 = 3735335424369 / 1000000000000

Step 3:

Now the last step is to simplify the fraction (if possible) by finding similar factors and cancelling them out, which leads to the following answer for 3.735335424369 as a fraction:

2611/699 / 1

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